Learning Goal
Part of: Analyze proportional relationships and use them to solve real-world and mathematical problems — 1 of 3 cluster items
Compute unit rates associated with ratios of fractions
**7.RP.A.1**: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2 / 1/4 miles per hour, equivalently 2 miles per hour.
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7.RP.A.1: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2 / 1/4 miles per hour, equivalently 2 miles per hour.
What you'll learn
- Identify the two quantities and their units in a ratio of fractions and determine which direction yields the desired unit rate
- Set up the complex fraction that represents a unit rate when both quantities in a ratio are fractions
- Compute a unit rate by dividing a fraction by a fraction, using the multiply-by-the-reciprocal procedure, and simplifying the result
- Interpret the computed unit rate in context, including expressing units correctly (e.g., miles per hour, dollars per square foot)
- Apply unit rate reasoning with fractions to scenarios involving lengths, areas, and quantities measured in like or different units
Prerequisites
- 6-rp-a-2
- 6-ns-a-1
Slides
Interactive presentations perfect for visual learners • 3 slide decks
Slide Video
Watch narrated slides play like a video lesson • Narrated slide playback
Exercises
Practice problems to build fluency and understanding • 1 exercises